Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 7 - Section 7.2 - Probability Theory - Exercises - Page 466: 5

Answer

9/49

Work Step by Step

A seven can be rolled via 1-6, 2-5, 3-4, 4-3, 5-2, 6-1. For these weighted dice, the five pairings aside from 4-3 will occur with probability (1/7)(1/7) = 1/49. 4-3 will occur with probability (2/7)(2/7) = 4/49. So the probability of the sum being 7 is 1/49 + 1/49 + 1/49 + 4/49 + 1/49 + 1/49 = 9/49.
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